1) 2a2 2) a2/2 3) √3a2/2 4) 2a2/√3 Solution: Given x2 - 4y2 = 0 and x = a are the sides of the triangle. x2 - 4y2 = 0 => (x - 2y)(x + 2y)... View Article
1) x2 - y2 = -4 2) x2 - y2 = 4 3) (x + y - 1)(x - y - 4) = 0 4) (x + y + 1)(x - y + 4) = 0 Solution: Given equation of the lines are x + y =... View Article
1) ∆ = 0 and h2 = ab 2) ∆ = 0 and a + b = 0 3) ∆ = 0 and h2 = ab, g2 = ac, f2 = bc 4) h2 = ab, g2 = ac and f2 = bc Solution: Given f(x,y) =... View Article
1) Two parallel straight lines 2) Two perpendicular straight lines 3) Two intersecting lines 4) None of these Solution: Given f(x,y) = 0 in... View Article
1) x - y cot θ = 0 2) x + y tan θ = 0 3) y sin θ + x (cos θ + 1) = 0 4) x cos θ + y (sin θ + 1) = 0 Solution: Given x2 - 2xy cot θ - y2 = 0... View Article
1) ax + by + 1 = 0, x + y = 0 2) ax + by – 1 = 0, x + y = 0 3) ax + by + 1 = 0, x – y = 0 4) None of these Solution: Given ax2 + (a + b)xy +... View Article
1) p = 1 and q = 2 or 6 2) p = 2 and q = 0 or 6 3) p = 2 and q = 0 or 8 4) p = –2 and q = – 2 or 8 Solution: Given 2x2 + 4xy - py2 + 4x +... View Article
1) 9 : 8 2) 8 : 9 3) 1 : 2 4) 2 : 1 Solution: Given x2/a + y2/b + 2xy/h = 0 ..(i) Let m be the slope. Then other slope is 2m. So one line is... View Article
1) Real and coincident 2) Real and different 3) Imaginary and different 4) None of the above Solution: Given 4x2 + 12xy + 9y2 = 0 We know... View Article
1) x + 4y = 0 and x + 3y = 0 2) 2x – 3y = 0 and x – 4y = 0 3) x – 6y = 0 and x – 3y = 0 4) x + 4y = 0 and x – 3y = 0 Solution: Given x2 + xy... View Article